@Article{JCM-10-155, author = {Wu , Yu-Hua and Wu , Hua-Mo}, title = {The Entropy Condition for Implicit TVD Schemes}, journal = {Journal of Computational Mathematics}, year = {1992}, volume = {10}, number = {2}, pages = {155--166}, abstract = {

A class of implicit trapezoidal TVD schemes is proven to satisfy a discrete convex entropy inequality and the solution sequence of such implicit trapezoidal schemes converges to the physically relevant solution for genuinely nonlinear scalar conservation laws. The results are extended for a class of generalized implicit one-leg TVD schemes.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9348.html} }